Diffusion Approximation of Stochastic SIR Epidemic Model

Kiouach, D. (2014) Diffusion Approximation of Stochastic SIR Epidemic Model. British Journal of Mathematics & Computer Science, 6 (3). pp. 165-171. ISSN 22310851

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Official URL: https://doi.org/10.9734/BJMCS/2015/14808

Abstract

In this work we consider the general stochastic SIR (Susceptible - Infected - Removed) epidemic model with the transition intensity q(S,I),(S−1,I+1) = βg(S)I, where g(x) is a function density dependent. An approximation of the final size by a diffusion process is given. Finally, I introduce some numerical simulation graphics to illustrate the main result.

Item Type:	Article
Subjects:	ScienceOpen Library > Mathematical Science
Depositing User:	Managing Editor
Date Deposited:	30 Jun 2023 04:33
Last Modified:	04 Dec 2025 03:40
URI:	http://journal.submanuscript.com/id/eprint/1485

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